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332808 = 23372283
BaseRepresentation
bin1010001010000001000
3121220112020
41101100020
541122213
611044440
72554200
oct1212010
9556466
10332808
11208053
12140720
13b8638
1489400
1568923
hex51408

332808 has 48 divisors (see below), whose sum is σ = 971280. Its totient is φ = 94752.

The previous prime is 332803. The next prime is 332837. The reversal of 332808 is 808233.

It is a super-2 number, since 2×3328082 = 221522329728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (332803) by changing a digit.

332808 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1035 + ... + 1317.

It is an arithmetic number, because the mean of its divisors is an integer number (20235).

2332808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485640).

332808 is an abundant number, since it is smaller than the sum of its proper divisors (638472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

332808 is a wasteful number, since it uses less digits than its factorization.

332808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 332808 is about 576.8951377850. The cubic root of 332808 is about 69.2996837043.

The spelling of 332808 in words is "three hundred thirty-two thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 283 294 392 566 588 849 1132 1176 1698 1981 2264 3396 3962 5943 6792 7924 11886 13867 15848 23772 27734 41601 47544 55468 83202 110936 166404 332808